Let's divide 646911 by 17
Our goal is to divide 646911 by 17.

Advancing to step 1:
6 divided by 17 is 0 with a remainder of 6.
Put 0 as the next digit of the answer. 
Result so far: 0.0
If we subtract 0 from 6, we get 6.
Bring next digit (4) of the dividend behind the 6 and repeat the process: 64 / 17

Advancing to step 2:
The number 17 fits into 64 3 times, leaving a remainder of 13.
Use 3 as the next digit of our solution. 
Result so far: 3.0
If we take 51 away from 64, we end up with 13.
Grab the next digit (6) from the dividend, add it to 13, then carry on: 136 / 17

Advancing to step 3:
17 can be fit into 136 8 times, resulting in a remainder of 0.
Record the quotient 8 as the next digit in the result. 
Result so far: 38.0
If we subtract 136 from 136, we get 0.
Bring next digit (9) of the dividend behind the 0 and repeat the process: 9 / 17

Step 4:
17 goes into 9 0 times with a remainder of 9.
Use 0 as the next digit of our solution. 
Result so far: 380.0
Deduct 0 from 9 and we're left with 9.
Bring next digit (1) of the dividend behind the 9 and repeat the process: 91 / 17

Going ahead to step 5:
17 can be fit into 91 5 times, resulting in a remainder of 6.
Put 5 as the next digit of the answer. 
Result so far: 3805.0
Subtracting 85 from 91 leaves us with 6.
Append the next digit (1) from the dividend to 6 and continue with: 61 / 17

Advancing to step 6:
61 divided by 17 is 3 with a remainder of 10.
Use 3 as the next digit of our solution. 
Result so far: 38053.0
If we subtract 51 from 61, we get 10.
Since there are no more digits in the dividend, we add a zero to the remainder making it 100, and continue the process.

Step 7:
When dividing 100 by 17, we get 5 with a remainder of 15.
Write down 5 as next digit of the result. 
Result so far: 38053.5
Subtracting 85 from 100 leaves us with 15.
Since there are no more digits in the dividend, we add a zero to the remainder making it 150, and continue the process.

Let's proceed to step 8:
17 goes into 150 8 times with a remainder of 14.
Record the quotient 8 as the next digit in the result. 
Result so far: 38053.58
Subtract 136 from 150 to get 14.
Since there are no more digits in the dividend, we add a zero to the remainder making it 140, and continue the process.

Step 9:
When dividing 140 by 17, we get 8 with a remainder of 4.
Put 8 as the next digit of the answer. 
Result so far: 38053.588
Subtract 136 from 140 to get 4.
Since there are no more digits in the dividend, we add a zero to the remainder making it 40, and continue the process.

The quotient of the division is 38053.588, and the remainder is 0.0004.